Use the following information. The table shows regulation distances between hurdles in women's and men's races. In both the women's and men's events, the race consists of a straight track with 10 equally spaced hurdles.

$$\begin{matrix} \text{Event} & \text{Distance of Race} & \text{Distance from Start to First Hurdle} & \text{Distance Between Hurdles} & \text{Distance from Last Hurdle to Finish}\\ \text{Women's} & \text{100 m} & \text{13.00 m} & \text{8.50 m} & \square\\ \text{Men's} & \text{110 m} & \text{13.72 m} & \text{9.14 m} & \square\\ \end{matrix}$$

Find the distance from the last hurdle to the finish line for the men's race.

Use the following information. The table shows regulation distances between hurdles in women's and men's races. In both the women's and men's events, the race consists of a straight track with 10 equally spaced hurdles.

$$\begin{matrix} \text{Event} & \text{Distance of Race} & \text{Distance from Start to First Hurdle} & \text{Distance Between Hurdles} & \text{Distance from Last Hurdle to Finish}\\ \text{Women's} & \text{100 m} & \text{13.00 m} & \text{8.50 m} & \square\\ \text{Men's} & \text{110 m} & \text{13.72 m} & \text{9.14 m} & \square\\ \end{matrix}$$

Find the distance from the last hurdle to the finish line for the women's race.

Match the structures on the right with their function listed on the left.

$$\begin{matrix} \text{1. Protection from ultraviolet radiation} & \text{a. Reticular layer of the dermis}\\ \text{2. Insulation, energy storage} & \text{b. Dermal blood supply }\\ \text{3. Waterproofing and preventing water loss} & \text{c. Papillary layer of the dermis}\\ \text{4. Temperature regulation} & \text{d. Hypodermis }\\ \text{5. Excretion of water, urea, and salts} & \text{e. Melanocytes }\\ \text{6. Produces the patterns for fingerprints} & \text{f. Stratum corneum}\\ \text{ } & \text{g. Eccrine sweat glands}\\ \end{matrix}$$

Wood bats are required in professional baseball but metal bats are sometimes allowed in youth and college baseball. One result is that the exit speed $v$ of the baseball off a metal bat can be greater. In one set of measurements under the same circumstances, $v=50.98 \mathrm{~m} / \mathrm{s}$ off a wood bat and $v=61.50 \mathrm{~m} / \mathrm{s}$ off a metal bat. Consider a ball hit directly toward the pitcher. The regulation distance between pitcher and batter is $\Delta x=60 \mathrm{ft} 6 \mathrm{in}$. For those measured speeds, how much time $\Delta t$ does the ball take to reach the pitcher for $(a)$ the wood bat and $(b)$ the metal bat? $(c)$ By what percentage would $\Delta t$ be reduced if professional baseball switched to metal bats? Because pitchers do not wear any protective equipment on face or body, the situation is already dangerous and the switch would add to that danger.

Target Corporation provides the following footnote relating to its retirement plans in its 2017 10-K report: Defined Contribution Plans Team members who meet eligibility requirements can participate in a defined contribution 401(k) plan by investing up to 80 percent of their eligible earnings. as limited by statute or regulation. We match 100 percent of each team member's contribution up to 5 percent of eligible earnings.

Company match contributions are made to funds designated by the participant, none of which are based on Target common stock. Benefits expense related to these matching contributions was $219 million,$197 million, and $224 million in 2017, 2016, and 2015, respectively.

d. Do you see any problems for employees in Target's plan?

The basal energy requirement for an individual indicates the minimum number of calories necessary to maintain essential life-sustaining processes such as circulation, regulation of body temperature, and respiration. Given a person's sex, weight $w$ (in kilograms), height $h$ (in centimeters), and age $y$ (in years), we can estimate the basal energy requirement in calories using the following formulas, where $C_f$ and $C_m$ are the calories necessary for females and males, respectively:

$$\begin{aligned} C_f &=66.5+13.8 w+5 h-6.8 y \\ C_m &=655+9.6 w+1.9 h-4.7 y \end{aligned}$$

(a) Determine the basal energy requirements first for a $25$-year-old female weighing $59$ kilograms who is $163$ centimeters tall and then for a $55$-year-old male weighing $75$ kilograms who is $178$ centimeters tall.

(b) Discuss why, in both formulas, the coefficient for $y$ is negative but the other coefficients are positive.

The table shows regulation distances between hurdles in woman's and men's races. In both the women's and men's events, the race consists of a straight track with 10 equally spaced hurdles.

$$\begin{matrix} \text{Event} & \text{Distance of Race} & \text{Distance from Start to First Hurdle} & \text{Distance Between Hurdles} & \text{Distance from last Hurdle to Finish}\\ \text{Women's} & \text{100 m} & \text{13.00 m} & \text{8.50 m} & \text{ }\\ \text{Men's} & \text{110 m} & \text{13.72 m} & \text{9.14 m} & \text{ }\\ \end{matrix}$$

Find the distance from the last hurdle to the finish line for the woman's race.

A student breaks a thermometer and spills most of the mercury $(\mathrm{Hg})$ onto the floor of a laboratory that measures $15.2 \mathrm{~m}$ long, $6.6 \mathrm{~m}$ wide, and $2.4 \mathrm{~m}$ high.

(a) Calculate the mass of mercury vapor (in grams) in the room at $20^{\circ} \mathrm{C}$. The vapor pressure of mercury at $20^{\circ} \mathrm{C}$ is $1.7 \times 10^{-6}$ atm.

(b) Does the concentration of mercury vapor exceed the air quality regulation of $0.050 \mathrm{mg} \mathrm{Hg} / \mathrm{m}^3$ of air?

(c) One way to deal with small quantities of spilled mercury is to spray sulfur powder over the metal. Suggest a physical and a chemical reason for this action.

The table shows regulation distances between hurdles in woman's and men's races. In both the women's and men's events, the race consists of a straight track with 10 equally spaced hurdles.

$$\begin{matrix} \text{Event} & \text{Distance of Race} & \text{Distance from Start to First Hurdle} & \text{Distance Between Hurdles} & \text{Distance from last Hurdle to Finish}\\ \text{Women's} & \text{100 m} & \text{13.00 m} & \text{8.50 m} & \text{ }\\ \text{Men's} & \text{110 m} & \text{13.72 m} & \text{9.14 m} & \text{ }\\ \end{matrix}$$

Find the distance from the last hurdle to the finish line for the men's race.

For women's collegiate competition, a basketball's circumference, mass, and bounce height must fall within given tolerance levels of regulation measurements. The table shows these tolerance levels äs well as measurements taken on five different basketballs. Which basketball meets all of the specified tolerances? $$ \begin{matrix} \text{ } & \text{Circumference (mm)} & \text{Mass (g)} & \text{Bounce Height (mm)}\\ \text{Tolerance} & {730.56 \pm 6.5} & {53.8.5 \pm 48.5} & {1358.5 \pm 63.5}\\ \text{Basketball #1} & \text{729.8} & \text{509.3} & \text{1343.4}\\ \text{Basketball #2} & \text{723.5} & \text{529.8} & \text{1299.8}\\ \text{Basketball #3} & \text{734.2} & \text{542.6} & \text{1293.5}\\ \text{Basketball #4} & \text{725.5} & \text{528} & \text{1364.5}\\ \text{Basketball #5} & \text{740} & \text{555.9} & \text{1407.4}\\ \end{matrix} $$

Draw a correctly labeled graph showing a natural monopoly. On your graph, label the price and quantity the monopoly will choose if unregulated as

$$P_U$$

and

$$Q_U$$

What happens to the size of consumer surplus when the firm is required to charge

$$P_R$$

rather than

$$P_U?$$

Using data from 176 male golfers on the 2009 PGA tour, a least-squares model was calculated to predict scoring average $(y)$ using $x_1=$ driving average (in yards), $x_2=$ driving accuracy (measured as a percent from 0 to 100), $x_3=$ putts per green-in-regulation (the average number of putts per hole when the green is reached in regulation), $x_4=$ sand save percent (the percentage of times a player hits his ball into a sand trap and successfully makes it into the hole in two or fewer additional strokes, measured as a percent from 0 to 100 ), and $x_5=$ over 40 years old ( 1 if over 40,0 if 40 or younger). Remember that lower scores are better in golf! The model is

$$\begin{aligned} & \hat{y}=69.6-0.041 x_1-0.072 x_2+10.603 x_3-0.0265 x_4-0.026 x_5 \\ & s=0.34 \end{aligned}$$

a) Interpret the value of $s=0.34$.

b) Predict the 2009 scoring average for Tiger Woods, who had a driving average of $298.4$, a driving accuracy of 64.3 %, a putts per green-inregulation average of $1.743$, a sand save percentage of 61.9%, and who is younger than 40 years old in 2009.

c) Tiger Woods actually had a scoring average of $68.84$ in 2009. Calculate and interpret his residual. (d) Interpret the coefficients of driving average and putts per green-inregulation.

e) After factoring in other variables, does the model suggest that it helps to be older? Explain. Why might this be?

Use the following information for this exercise .

The table shows regulation distances between hurdles in women's and men's races. In both the women's and men's events, the race consists of a straight track with 10 equally spaced hurdles.

Event	Distance of Race	Distance from Start to First Hurdle	Distance Between Hurdles	Distance from Last Hurdle to Finish
Women's	$100 \mathrm{~m}$	$13.00 \mathrm{~m}$	$8.50 \mathrm{~m}$
Men's	$110 \mathrm{~m}$	$13.72 \mathrm{~m}$	$9.14 \mathrm{~m}$

Find the distance from the last hurdle to the finish line for the women's race.

Modulation of Acetyl-CoA Carboxylase Acetyl-CoA carboxylase is the principal regulation point in the biosynthesis of fatty acids. Some of the properties of the enzyme are described below.
(a) Addition of citrate or isocitrate raises the $V_{\max }$ of the enzyme as much as 10 -fold. (b) The enzyme exists in two interconvertible forms that differ markedly in their activities:

$$\text { Protomer (Inactive) } \rightleftharpoons \text { filamentouspolymer (active) }$$

Citrate and isocitrate bind preferentially to the filamentous form, and palmitoyl-CoA binds preferentially to the protomer.
Explain how these properties are consistent with the regulatory role of acetyl-CoA carboxylase in the biosynthesis of fatty acids.